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Popular >

simplify \sqrt[3]{e^8}

Solution

simplify

Solution

e^{\frac{8}{3}}

+1

Decimal Notation

14.39191 \dots

Solution steps

Apply radical rule:

= (e^{8})^{\frac{1}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{8 \cdot \frac{1}{3}}

8 \cdot \frac{1}{3} = \frac{8}{3}

= e^{\frac{8}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{e^8} ?
The solution to \sqrt[3]{e^8} is e^{8/3}